Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G

Time bar (total: 5.4s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample484.0ms (9%)

Memory
39.5MiB live, 880.6MiB allocated
Samples
276.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-div: 77.0ms (55.2% of total)
ival-sub: 48.0ms (34.4% of total)
exact: 7.0ms (5% of total)
ival-true: 5.0ms (3.6% of total)
ival-assert: 3.0ms (2.2% of total)
Bogosity

preprocess14.0ms (0.3%)

Memory
17.7MiB live, 17.7MiB allocated
Algorithm
1×egg-herbie
Rules
16×distribute-lft-neg-in
14×sub-neg
12×cancel-sign-sub-inv
10×associate--r+
10×distribute-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1189
2396
3636
4966
51046
61066
053
083
1133
2143
0143
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(+.f64 x #s(literal -1/3 binary64))

explain69.0ms (1.3%)

Memory
-38.3MiB live, 79.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
18.0ms512×0valid
Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (52.3% of total)
ival-sub: 2.0ms (26.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Rules
4×lower-+.f64
4×lower-+.f32
2×lift-/.f64
2×1-exp
2×lift--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
087
1137
2147
0147
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(+.f64 x #s(literal -1/3 binary64))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)

localize17.0ms (0.3%)

Memory
-9.0MiB live, 28.9MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓accuracy100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Samples
11.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (52.7% of total)
ival-sub: 1.0ms (26.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Counts
2 → 12
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))>
Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(- x (/ 1 3))
0.0ms
x
@-inf
(- x (/ 1 3))
0.0ms
x
@0
(- x (/ 1 3))

rewrite347.0ms (6.5%)

Memory
15.9MiB live, 480.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 912×lower-fma.f64
6 912×lower-fma.f32
4 474×lower-*.f64
4 474×lower-*.f32
3 944×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
084
1274
21294
39794
085574
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 313
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Outputs
#s(literal 1/3 binary64)
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x x)))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1/19683 binary64) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64))))))
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(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
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(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))

simplify20.0ms (0.4%)

Memory
-5.2MiB live, 32.8MiB allocated
Algorithm
1×egg-herbie
Rules
192×lower-fma.f64
192×lower-fma.f32
144×lower-*.f64
144×lower-*.f32
96×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
13230
27530
315830
441230
552330
657630
759930
860130
060130
Stop Event
1×iter limit
1×saturated
Counts
12 → 10
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))

eval48.0ms (0.9%)

Memory
-17.5MiB live, 83.2MiB allocated
Compiler

Compiled 10 399 to 762 computations (92.7% saved)

prune40.0ms (0.7%)

Memory
6.1MiB live, 121.2MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3185323
Fresh000
Picked101
Done000
Total3195324
Accuracy
100.0%
Counts
324 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.7%
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
▶80.3%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
▶100.0%
(-.f64 x #s(literal 1/3 binary64))
▶80.3%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
▶52.0%
#s(literal -1/3 binary64)
Compiler

Compiled 80 to 56 computations (30% saved)

simplify141.0ms (2.6%)

Memory
-12.3MiB live, 70.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
✓cost-diff0
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
✓cost-diff0
(-.f64 #s(literal -1/3 binary64) x)
✓cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
✓cost-diff0
(fma.f64 x x #s(literal -1/9 binary64))
✓cost-diff320
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
✓cost-diff0
(+.f64 #s(literal 1/3 binary64) x)
✓cost-diff0
(fma.f64 x x #s(literal -1/9 binary64))
✓cost-diff0
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
✓cost-diff0
(-.f64 x #s(literal 1/3 binary64))
Rules
1 128×lower-fma.f32
1 122×lower-fma.f64
632×lower-*.f32
628×lower-*.f64
362×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01885
03181
15081
27481
310581
412381
516781
632581
779781
8152481
9169781
10176581
11187681
12216981
13237181
14248981
15271981
16273981
17273981
0273981
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(literal -1/3 binary64)
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
#s(literal -1 binary64)
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
x
(*.f64 x x)
#s(literal -1/27 binary64)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
Outputs
(-.f64 x #s(literal 1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
x
#s(literal 1/3 binary64)
#s(literal -1/3 binary64)
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
#s(literal -1 binary64)
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
x
(*.f64 x x)
#s(literal -1/27 binary64)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

localize81.0ms (1.5%)

Memory
26.4MiB live, 143.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/3 binary64) x)
✓accuracy100.0%
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
✓accuracy100.0%
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
✓accuracy72.6%
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
✓accuracy100.0%
(fma.f64 x x #s(literal -1/9 binary64))
✓accuracy100.0%
(-.f64 #s(literal -1/3 binary64) x)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
✓accuracy80.3%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
✓accuracy100.0%
(fma.f64 x x #s(literal -1/9 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1/3 binary64) x)
✓accuracy80.3%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
✓accuracy100.0%
(-.f64 x #s(literal 1/3 binary64))
Samples
53.0ms256×0valid
Compiler

Compiled 95 to 22 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
const: 14.0ms (41.4% of total)
ival-div: 6.0ms (17.7% of total)
ival-mult: 6.0ms (17.7% of total)
ival-add: 4.0ms (11.8% of total)
ival-sub: 2.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series109.0ms (2%)

Memory
-28.5MiB live, 8.9MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#<alt (-.f64 x #s(literal 1/3 binary64))>
#<alt (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))>
#<alt (fma.f64 x x #s(literal -1/9 binary64))>
#<alt (+.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))>
#<alt (-.f64 #s(literal -1/3 binary64) x)>
#<alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))>
#<alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))>
Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt -1/9>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt 1/3>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* x (- (* 27 x) 9)))>
#<alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))>
#<alt -1/3>
#<alt (- (* -1 x) 1/3)>
#<alt (- (* -1 x) 1/3)>
#<alt (- (* -1 x) 1/3)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt -1/27>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/9>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (+ 1/9 (* x (+ 1/3 x)))>
#<alt (+ 1/9 (* x (+ 1/3 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
Calls

33 calls:

TimeVariablePointExpression
103.0ms
x
@inf
(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
1.0ms
x
@-inf
(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
0.0ms
x
@-inf
(* (+ (* x x) -1/9) (/ -1 (- -1/3 x)))
0.0ms
x
@0
(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
0.0ms
x
@0
(/ (+ (* x x) -1/9) (+ 1/3 x))

rewrite457.0ms (8.5%)

Memory
40.5MiB live, 632.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 338×lower-fma.f32
6 332×lower-fma.f64
4 594×lower-*.f32
4 590×lower-*.f64
3 870×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01864
03141
114041
2103141
0853241
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 1 772
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
(fma.f64 x x #s(literal -1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
(-.f64 #s(literal -1/3 binary64) x)
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(*.f64 x x)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
Outputs
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)))))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1/9 binary64)))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64))) #s(literal -1/27 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64))) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64))) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) #s(literal 1/9 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) #s(literal 1/9 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x #s(literal -1/3 binary64))))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1/9 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64)))) (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64)))))
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(/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64)))) (+.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))) (neg.f64 (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 3 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (-.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (fma.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))) (*.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))))) (+.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)))
(*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(*.f64 (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))))
(*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))))
(*.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))
(*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))

simplify326.0ms (6.1%)

Memory
13.5MiB live, 520.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 024×lower-fma.f64
8 024×lower-fma.f32
3 062×lower-*.f64
3 062×lower-*.f32
1 444×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091515
1257507
2639490
31879486
44566486
08174464
Stop Event
1×iter limit
1×node limit
Counts
132 → 122
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
3
(+ 3 (* -9 x))
(+ 3 (* x (- (* 27 x) 9)))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
-1/3
(- (* -1 x) 1/3)
(- (* -1 x) 1/3)
(- (* -1 x) 1/3)
(* -1 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/27
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(pow x 3)
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 27 x) 9)))
(fma.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81 binary64) #s(literal 27 binary64)) #s(literal -9 binary64)) #s(literal 3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1/3 binary64)))
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x))
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64)) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1/3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64)) x))
-1/3
#s(literal -1/3 binary64)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))

eval315.0ms (5.8%)

Memory
-6.4MiB live, 702.9MiB allocated
Compiler

Compiled 55 375 to 2 548 computations (95.4% saved)

prune217.0ms (4%)

Memory
7.3MiB live, 283.6MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2 06912 070
Fresh000
Picked145
Done000
Total2 07052 075
Accuracy
100.0%
Counts
2 075 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓80.3%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
▶52.9%
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓80.3%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
✓52.0%
#s(literal -1/3 binary64)
Compiler

Compiled 35 to 26 computations (25.7% saved)

simplify5.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1/3 binary64) x)
✓cost-diff0
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
✓cost-diff0
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
Rules
28×lower-+.f32
26×lower-+.f64
22×lower-fma.f32
20×lower-fma.f64
12×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
01121
11921
22821
33421
03421
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
x
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
Outputs
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
x
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

localize166.0ms (3.1%)

Memory
-67.2MiB live, 51.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/3 binary64) x)
✓accuracy100.0%
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
✓accuracy99.4%
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
Samples
91.0ms256×0valid
Compiler

Compiled 25 to 10 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
const: 78.0ms (92.8% of total)
ival-div: 2.0ms (2.4% of total)
ival-add: 2.0ms (2.4% of total)
ival-mult: 2.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))>
#<alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))>
#<alt (+.f64 #s(literal 1/3 binary64) x)>
Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- (* x (+ 1 (* -9 (pow x 2)))) 1/3)>
#<alt (- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)>
#<alt (/ -1/27 (pow x 2))>
#<alt (/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))>
#<alt (/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))>
#<alt (/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))>
#<alt (/ -1/27 (pow x 2))>
#<alt (/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))>
#<alt 1/9>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (+ 1/9 (* x (+ 1/3 x)))>
#<alt (+ 1/9 (* x (+ 1/3 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt 1/3>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ -1/27 (+ (* x (+ 1/3 x)) 1/9))
0.0ms
x
@-inf
(/ -1/27 (+ (* x (+ 1/3 x)) 1/9))
0.0ms
x
@0
(/ -1/27 (+ (* x (+ 1/3 x)) 1/9))
0.0ms
x
@0
(+ (* x (+ 1/3 x)) 1/9)
0.0ms
x
@-inf
(+ (* x (+ 1/3 x)) 1/9)

rewrite848.0ms (15.8%)

Memory
24.5MiB live, 491.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 668×lower-fma.f32
4 666×lower-fma.f64
4 178×lower-*.f64
4 178×lower-*.f32
3 088×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01117
15317
236717
3399317
0824717
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 273
Calls
Call 1
Inputs
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))))
(+.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))) (*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))))
(+.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))))
(+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (neg.f64 x) #s(literal 1/9 binary64))))
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 x #s(literal 1/3 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1/3 binary64) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/19683 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 x #s(literal -1/3 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 x x #s(literal 1/9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))))

simplify395.0ms (7.3%)

Memory
24.1MiB live, 772.3MiB allocated
Algorithm
1×egg-herbie
Rules
16 212×lower-fma.f64
16 212×lower-fma.f32
2 898×lower-*.f64
2 898×lower-*.f32
2 636×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072232
1186228
2456220
31268220
43722220
57834220
08495210
Stop Event
1×iter limit
1×node limit
Counts
36 → 34
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 x (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x x))) x)) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x x)))) x)) (*.f64 x x))
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x x))) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x x)))) x)) (*.f64 x x))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))

eval51.0ms (0.9%)

Memory
-21.9MiB live, 107.5MiB allocated
Compiler

Compiled 8 734 to 976 computations (88.8% saved)

prune36.0ms (0.7%)

Memory
-12.5MiB live, 109.1MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3061307
Fresh000
Picked101
Done044
Total3075312
Accuracy
100.0%
Counts
312 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓80.3%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
▶51.9%
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓80.3%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
✓52.0%
#s(literal -1/3 binary64)
Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify5.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
✓cost-diff0
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
Rules
4×lower-*.f64
4×lower-+.f64
4×lower-fma.f32
4×lower-*.f32
4×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
0914
11114
01114
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
x
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
Outputs
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
x
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

localize30.0ms (0.6%)

Memory
-12.5MiB live, 66.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
✓accuracy99.7%
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
Samples
19.0ms256×0valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
const: 8.0ms (60.8% of total)
ival-div: 2.0ms (15.2% of total)
ival-mult: 2.0ms (15.2% of total)
ival-add: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))>
#<alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))>
Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- (* x (+ 1 (* -3 x))) 1/3)>
#<alt (- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)>
#<alt (/ -1/9 x)>
#<alt (/ (- (* 1/27 (/ 1 x)) 1/9) x)>
#<alt (/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x))>
#<alt 1/9>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ -1/27 (+ (* x 1/3) 1/9))
0.0ms
x
@-inf
(/ -1/27 (+ (* x 1/3) 1/9))
0.0ms
x
@0
(/ -1/27 (+ (* x 1/3) 1/9))
0.0ms
x
@0
(+ (* x 1/3) 1/9)
0.0ms
x
@inf
(+ (* x 1/3) 1/9)

rewrite353.0ms (6.6%)

Memory
33.5MiB live, 465.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 602×lower-/.f32
5 600×lower-/.f64
5 498×lower-fma.f32
5 496×lower-fma.f64
4 128×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
0910
13510
220510
3172810
0854010
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 388
Calls
Call 1
Inputs
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))))
(+.f64 (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))))
(+.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) #s(literal -27 binary64)) (/.f64 (/.f64 (*.f64 x #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) #s(literal -27 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) #s(literal -27 binary64)) (/.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) #s(literal -27 binary64)))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))))
(fma.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) (*.f64 x #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(/.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal -27 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (-.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 x (*.f64 x #s(literal 1/9 binary64))))))) (*.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (*.f64 x #s(literal 1/27 binary64)))) (*.f64 #s(literal -1/27 binary64) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (*.f64 x #s(literal 1/27 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/27 binary64) #s(literal 1/81 binary64)))) (*.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (-.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (fma.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (*.f64 x #s(literal 1/27 binary64))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (*.f64 x #s(literal 1/27 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/27 binary64) #s(literal 1/81 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))))
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/531441 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 #s(literal 1/729 binary64) (*.f64 x x) #s(literal 1/6561 binary64)))) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/531441 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 #s(literal 1/729 binary64) (*.f64 x x) #s(literal 1/6561 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6561 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/27 binary64) #s(literal 1/81 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6561 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6561 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6561 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6561 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))

simplify481.0ms (8.9%)

Memory
-15.8MiB live, 411.6MiB allocated
Algorithm
1×egg-herbie
Rules
12 788×lower-fma.f64
12 788×lower-fma.f32
2 168×lower-+.f64
2 168×lower-+.f32
2 164×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066162
1189154
2405154
3977150
42313150
54335150
65490150
76267150
86713150
96826150
106861150
117315150
127404150
137432150
147442150
157442150
08014136
Stop Event
1×iter limit
1×node limit
Counts
24 → 24
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- (* x (+ 1 (* -3 x))) 1/3)
(- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)
(/ -1/9 x)
(/ (- (* 1/27 (/ 1 x)) 1/9) x)
(/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/ -1/9 x)
(* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* 1/3 x))
(+ 1/9 (* 1/3 x))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- (* x (+ 1 (* -3 x))) 1/3)
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- (* 1/27 (/ 1 x)) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)) x)
(/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/243 binary64) x)) x)) x)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/243 binary64) x)) x)) x)) x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))

eval52.0ms (1%)

Memory
29.9MiB live, 103.9MiB allocated
Compiler

Compiled 12 985 to 1 352 computations (89.6% saved)

prune72.0ms (1.3%)

Memory
-19.2MiB live, 116.2MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New4120412
Fresh000
Picked011
Done044
Total4125417
Accuracy
100.0%
Counts
417 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓80.3%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
✓51.9%
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓80.3%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
✓52.0%
#s(literal -1/3 binary64)
Compiler

Compiled 88 to 50 computations (43.2% saved)

regimes6.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
Outputs
(-.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

3.0ms
x
3.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory
-31.7MiB live, 7.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
Outputs
#s(literal -1/3 binary64)
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
52.0%1x
52.0%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify6.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
4×sub-neg_binary64
2×*-commutative_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
164
2114
3134
4144
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(literal -1/3 binary64)
Outputs
(-.f64 x #s(literal 1/3 binary64))
#s(literal -1/3 binary64)

soundness127.0ms (2.4%)

Memory
-5.2MiB live, 147.9MiB allocated
Rules
6 912×lower-fma.f64
6 912×lower-fma.f32
4 474×lower-*.f64
4 474×lower-*.f32
3 944×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
084
1274
21294
39794
085574
01330
13230
27530
315830
441230
552330
657630
759930
860130
060130
Stop Event
1×done
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 11 to 9 computations (18.2% saved)

preprocess48.0ms (0.9%)

Memory
5.7MiB live, 85.7MiB allocated
Compiler

Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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